I would personally add 6x to both sides to give 10x=-28, then divide by 10 to give x=-2.8
Collect the x's on one side
Well the formula for the quadratic equation is y = -b <u>+</u><span> √b² - 4ac / 2a
</span>Fill in the variables with the information where a = 2, b = 2, and c = -12.
The final answer is <span>y = -2 +</span><span> </span><span><span>√2² - 4(2)(-12) / 2(2)
</span>A simplified answer would be <span>y = -2 <u>+</u> </span></span><span>√4 + 96 / 4, which further simplifies to
</span>y = -2 <u>+</u> 10 / 4
This can be simplified into two answers, either y = -3 or y = 2
8x+(4*30)=6(6+30)
8x+120=6x+180
2x=60
x=30 pounds of coffee
X = mary's shells
g = 1 1/4x + 5
n = 1 1/2x+ 1
g = n
1 1/4x + 5 = 1 1/2x + 1
5/4x + 5 = 3/2x + 1...multiply by common denominator of 4, this will get rid of fractions...however, this is optional...u can work with fractions if u wish.
5x + 20 = 6x + 4
5x - 6x = 4 - 20
-x = - 16
x = 16....so Mary has 16 shells
